Equivalent trace sets for arithmetic Fuchsian groups
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- by Grant S. Lakeland PDF
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Abstract:
We show that the modular group has an infinite family of finite index subgroups, each of which has the same trace set as the modular group itself. Various congruence subgroups of the modular group, and the Bianchi groups, are also shown to have this property. In the case of the modular group, we construct examples of such finite index subgroups.References
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Additional Information
- Grant S. Lakeland
- Affiliation: Department of Mathematics and Computer Science, Eastern Illinois University, 600 Lincoln Avenue, Charleston, Illinois 61920
- MR Author ID: 984963
- Email: gslakeland@eiu.edu
- Received by editor(s): January 11, 2016
- Received by editor(s) in revised form: March 12, 2016
- Published electronically: July 6, 2016
- Communicated by: David Futer
- © Copyright 2016 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 145 (2017), 445-459
- MSC (2010): Primary 57M50; Secondary 20F65
- DOI: https://doi.org/10.1090/proc/13194
- MathSciNet review: 3565394